Being resourceful

  • Trebling
    problem
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    Trebling

    Age
    7 to 11
    Challenge level
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    Can you replace the letters with numbers? Is there only one solution in each case?

  • The Deca Tree
    problem
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    The Deca Tree

    Age
    7 to 11
    Challenge level
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    Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

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    A Mixed-Up Clock

    Age
    7 to 11
    Challenge level
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    There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

  • Odd Squares
    problem
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    Odd Squares

    Age
    7 to 11
    Challenge level
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    Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

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    Up and Down Staircases

    Age
    7 to 11
    Challenge level
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    One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

  • The Thousands Game
    problem

    The Thousands Game

    Age
    7 to 11
    Challenge level
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    Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

  • Fractional Wall
    problem
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    Fractional Wall

    Age
    7 to 11
    Challenge level
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    Using the picture of the fraction wall, can you find equivalent fractions?

  • Brush Loads
    problem
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    Brush Loads

    Age
    7 to 11
    Challenge level
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    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

  • Real Statistics
    problem
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    Real Statistics

    Age
    7 to 11
    Challenge level
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    Have a look at this table of how children travel to school. How does it compare with children in your class?

  • Torn Shapes
    problem
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    Torn Shapes

    Age
    7 to 11
    Challenge level
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    These rectangles have been torn. How many squares did each one have inside it before it was ripped?